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1342332240 = 2435173110613
BaseRepresentation
bin101000000000010…
…0101110101010000
310110112211112122220
41100000211311100
510222114112430
6341110501040
745156431034
oct12000456520
93415745586
101342332240
11629791097
12315664780
1318513a242
14ca3c01c4
157cca3110
hex50025d50

1342332240 has 160 divisors (see below), whose sum is σ = 4548566016. Its totient is φ = 326000640.

The previous prime is 1342332217. The next prime is 1342332263. The reversal of 1342332240 is 422332431.

It is an interprime number because it is at equal distance from previous prime (1342332217) and next prime (1342332263).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1342332240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121174 + ... + 131786.

Almost surely, 21342332240 is an apocalyptic number.

1342332240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1342332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274283008).

1342332240 is an abundant number, since it is smaller than the sum of its proper divisors (3206233776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1342332240 is a wasteful number, since it uses less digits than its factorization.

1342332240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10677 (or 10671 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 1342332240 is about 36637.8525571573. The cubic root of 1342332240 is about 1103.1130110380.

Adding to 1342332240 its reverse (422332431), we get a palindrome (1764664671).

The spelling of 1342332240 in words is "one billion, three hundred forty-two million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 31 34 40 48 51 60 62 68 80 85 93 102 120 124 136 155 170 186 204 240 248 255 272 310 340 372 408 465 496 510 527 620 680 744 816 930 1020 1054 1240 1360 1488 1581 1860 2040 2108 2480 2635 3162 3720 4080 4216 5270 6324 7440 7905 8432 10540 10613 12648 15810 21080 21226 25296 31620 31839 42160 42452 53065 63240 63678 84904 106130 126480 127356 159195 169808 180421 212260 254712 318390 329003 360842 424520 509424 541263 636780 658006 721684 849040 902105 987009 1082526 1273560 1316012 1443368 1645015 1804210 1974018 2165052 2547120 2632024 2706315 2886736 3290030 3608420 3948036 4330104 4935045 5264048 5412630 5593051 6580060 7216840 7896072 8660208 9870090 10825260 11186102 13160120 14433680 15792144 16779153 19740180 21650520 22372204 26320240 27965255 33558306 39480360 43301040 44744408 55930510 67116612 78960720 83895765 89488816 111861020 134233224 167791530 223722040 268466448 335583060 447444080 671166120 1342332240