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3424551240 = 2335114163277
BaseRepresentation
bin1100110000011110…
…1000000101001000
322211122220020011010
43030013220011020
524003141114430
61323452003520
7150602130255
oct31407500510
98748806133
103424551240
1114a8085040
127b6a605a0
134276409a6
14246b5c42c
151509a6cb0
hexcc1e8148

3424551240 has 128 divisors (see below), whose sum is σ = 11481160320. Its totient is φ = 809932800.

The previous prime is 3424551227. The next prime is 3424551269. The reversal of 3424551240 is 421554243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3424551198 and 3424551207.

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, 22482 + ... + 85758.

It is an arithmetic number, because the mean of its divisors is an integer number (89696565).

Almost surely, 23424551240 is an apocalyptic number.

3424551240 is a gapful number since it is divisible by the number (30) 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 3424551240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5740580160).

3424551240 is an abundant number, since it is smaller than the sum of its proper divisors (8056609080).

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

3424551240 is a wasteful number, since it uses less digits than its factorization.

3424551240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63343 (or 63339 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 3424551240 is about 58519.6654125773. The cubic root of 3424551240 is about 1507.3052885266.

The spelling of 3424551240 in words is "three billion, four hundred twenty-four million, five hundred fifty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 41 44 55 60 66 82 88 110 120 123 132 164 165 205 220 246 264 328 330 410 440 451 492 615 660 820 902 984 1230 1320 1353 1640 1804 2255 2460 2706 3608 4510 4920 5412 6765 9020 10824 13530 18040 27060 54120 63277 126554 189831 253108 316385 379662 506216 632770 696047 759324 949155 1265540 1392094 1518648 1898310 2088141 2531080 2594357 2784188 3480235 3796620 4176282 5188714 5568376 6960470 7593240 7783071 8352564 10377428 10440705 12971785 13920940 15566142 16705128 20754856 20881410 25943570 27841880 28537927 31132284 38915355 41762820 51887140 57075854 62264568 77830710 83525640 85613781 103774280 114151708 142689635 155661420 171227562 228303416 285379270 311322840 342455124 428068905 570758540 684910248 856137810 1141517080 1712275620 3424551240