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312452420 = 22573371231
BaseRepresentation
bin10010100111111…
…010010101000100
3210202221020010212
4102213322111010
51114441434140
651000534552
710512542000
oct2247722504
9722836125
10312452420
1115040a145
1288781458
134c96a9b7
142d6d5700
151c66d765
hex129fa544

312452420 has 96 divisors (see below), whose sum is σ = 786508800. Its totient is φ = 104146560.

The previous prime is 312452411. The next prime is 312452443. The reversal of 312452420 is 24254213.

It is a happy number.

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, 253205 + ... + 254435.

It is an arithmetic number, because the mean of its divisors is an integer number (8192800).

Almost surely, 2312452420 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 312452420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393254400).

312452420 is an abundant number, since it is smaller than the sum of its proper divisors (474056380).

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

312452420 is a wasteful number, since it uses less digits than its factorization.

312452420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 312452420 is about 17676.3237128086. The cubic root of 312452420 is about 678.5699618699.

The spelling of 312452420 in words is "three hundred twelve million, four hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 49 70 74 98 140 148 185 196 245 259 343 370 490 518 686 740 980 1036 1231 1295 1372 1715 1813 2462 2590 3430 3626 4924 5180 6155 6860 7252 8617 9065 12310 12691 17234 18130 24620 25382 34468 36260 43085 45547 50764 60319 63455 86170 91094 120638 126910 172340 182188 227735 241276 253820 301595 318829 422233 455470 603190 637658 844466 910940 1206380 1275316 1594145 1688932 2111165 2231803 3188290 4222330 4463606 6376580 8444660 8927212 11159015 15622621 22318030 31245242 44636060 62490484 78113105 156226210 312452420