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31464342 = 23371319337
BaseRepresentation
bin111100000000…
…1101110010110
32012012112222000
41320001232112
531023324332
63042220130
7531304530
oct170015626
965175860
1031464342
1116840698
12a654646
136698670
144270850
152b67b7c
hex1e01b96

31464342 has 128 divisors (see below), whose sum is σ = 90854400. Its totient is φ = 7838208.

The previous prime is 31464341. The next prime is 31464359. The reversal of 31464342 is 24346413.

31464342 is a `hidden beast` number, since 3 + 14 + 643 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31464341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93198 + ... + 93534.

It is an arithmetic number, because the mean of its divisors is an integer number (709800).

Almost surely, 231464342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31464342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45427200).

31464342 is an abundant number, since it is smaller than the sum of its proper divisors (59390058).

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

31464342 is a wasteful number, since it uses less digits than its factorization.

31464342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 381 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 31464342 is about 5609.3085135336. The cubic root of 31464342 is about 315.6987662371.

The spelling of 31464342 in words is "thirty-one million, four hundred sixty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 19 21 26 27 38 39 42 54 57 63 78 91 114 117 126 133 171 182 189 234 247 266 273 337 342 351 378 399 494 513 546 674 702 741 798 819 1011 1026 1197 1482 1638 1729 2022 2223 2359 2394 2457 3033 3458 3591 4381 4446 4718 4914 5187 6066 6403 6669 7077 7182 8762 9099 10374 12806 13143 13338 14154 15561 18198 19209 21231 26286 30667 31122 38418 39429 42462 44821 46683 57627 61334 63693 78858 83239 89642 92001 93366 115254 118287 127386 134463 166478 172881 184002 236574 249717 268926 276003 345762 403389 499434 552006 582673 749151 806778 828009 1165346 1210167 1498302 1656018 1748019 2247453 2420334 3496038 4494906 5244057 10488114 15732171 31464342