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31334004 = 223213234171
BaseRepresentation
bin111011110000…
…1111001110100
32011221221011200
41313201321310
531010142004
63035332500
7530222532
oct167417164
964857150
1031334004
1116761779
12a5b1130
136651240
144239152
152b3e239
hex1de1e74

31334004 has 144 divisors (see below), whose sum is σ = 92461824. Its totient is φ = 8870400.

The previous prime is 31333997. The next prime is 31334011. The reversal of 31334004 is 40043313.

It is an interprime number because it is at equal distance from previous prime (31333997) and next prime (31334011).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 441289 + ... + 441359.

It is an arithmetic number, because the mean of its divisors is an integer number (642096).

Almost surely, 231334004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31334004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46230912).

31334004 is an abundant number, since it is smaller than the sum of its proper divisors (61127820).

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

31334004 is a wasteful number, since it uses less digits than its factorization.

31334004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 31334004 is about 5597.6784473565. The cubic root of 31334004 is about 315.2622457098.

Adding to 31334004 its reverse (40043313), we get a palindrome (71377317).

The spelling of 31334004 in words is "thirty-one million, three hundred thirty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 41 46 52 69 71 78 82 92 117 123 138 142 156 164 207 213 234 246 276 284 299 369 414 426 468 492 533 598 639 738 828 852 897 923 943 1066 1196 1278 1476 1599 1633 1794 1846 1886 2132 2556 2691 2769 2829 2911 3198 3266 3588 3692 3772 4797 4899 5382 5538 5658 5822 6396 6532 8307 8487 8733 9594 9798 10764 11076 11316 11644 12259 14697 16614 16974 17466 19188 19596 21229 24518 26199 29394 33228 33948 34932 36777 37843 42458 49036 52398 58788 63687 66953 73554 75686 84916 104796 110331 113529 127374 133906 147108 151372 191061 200859 220662 227058 254748 267812 340587 382122 401718 441324 454116 602577 681174 764244 803436 870389 1205154 1362348 1740778 2410308 2611167 3481556 5222334 7833501 10444668 15667002 31334004