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10342640 = 2457112373
BaseRepresentation
bin100111011101…
…000011110000
3201110110102202
4213131003300
510121431030
61005402332
7153624320
oct47350360
921413382
1010342640
115924640
1235693a8
1321b1809
141533280
15d94745
hex9dd0f0

10342640 has 160 divisors (see below), whose sum is σ = 31712256. Its totient is φ = 3041280.

The previous prime is 10342603. The next prime is 10342643. The reversal of 10342640 is 4624301.

It is a happy number.

10342640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10342643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141644 + ... + 141716.

Almost surely, 210342640 is an apocalyptic number.

10342640 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 10342640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15856128).

10342640 is an abundant number, since it is smaller than the sum of its proper divisors (21369616).

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

10342640 is a wasteful number, since it uses less digits than its factorization.

10342640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 10342640 is about 3215.9975124368. The cubic root of 10342640 is about 217.8765398068.

Adding to 10342640 its reverse (4624301), we get a palindrome (14966941).

The spelling of 10342640 in words is "ten million, three hundred forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 23 28 35 40 44 46 55 56 70 73 77 80 88 92 110 112 115 140 146 154 161 176 184 220 230 253 280 292 308 322 365 368 385 440 460 506 511 560 584 616 644 730 770 803 805 880 920 1012 1022 1168 1232 1265 1288 1460 1540 1606 1610 1679 1771 1840 2024 2044 2530 2555 2576 2920 3080 3212 3220 3358 3542 4015 4048 4088 5060 5110 5621 5840 6160 6424 6440 6716 7084 8030 8176 8395 8855 10120 10220 11242 11753 12848 12880 13432 14168 16060 16790 17710 18469 20240 20440 22484 23506 26864 28105 28336 32120 33580 35420 36938 40880 44968 47012 56210 58765 64240 67160 70840 73876 89936 92345 94024 112420 117530 129283 134320 141680 147752 184690 188048 224840 235060 258566 295504 369380 449680 470120 517132 646415 738760 940240 1034264 1292830 1477520 2068528 2585660 5171320 10342640