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344370444 = 2231123313659
BaseRepresentation
bin10100100001101…
…010110100001100
3212222222211102220
4110201222310030
51201124323234
654101015340
711351046315
oct2441526414
9788884386
10344370444
1116742a680
12973b4550
13564649c2
1433a4360c
1520375a49
hex1486ad0c

344370444 has 96 divisors (see below), whose sum is σ = 944455680. Its totient is φ = 96571200.

The previous prime is 344370431. The next prime is 344370463. The reversal of 344370444 is 444073443.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 92287 + ... + 95945.

It is an arithmetic number, because the mean of its divisors is an integer number (9838080).

Almost surely, 2344370444 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 344370444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472227840).

344370444 is an abundant number, since it is smaller than the sum of its proper divisors (600085236).

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

344370444 is a wasteful number, since it uses less digits than its factorization.

344370444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3731 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 33.

The square root of 344370444 is about 18557.2208048511. The cubic root of 344370444 is about 700.9310359553.

The spelling of 344370444 in words is "three hundred forty-four million, three hundred seventy thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 23 31 33 44 46 62 66 69 92 93 124 132 138 186 253 276 341 372 506 682 713 759 1012 1023 1364 1426 1518 2046 2139 2852 3036 3659 4092 4278 7318 7843 8556 10977 14636 15686 21954 23529 31372 40249 43908 47058 80498 84157 94116 113429 120747 160996 168314 226858 241494 252471 336628 340287 453716 482988 504942 680574 925727 1009884 1247719 1361148 1851454 2495438 2608867 2777181 3702908 3743157 4990876 5217734 5554362 7486314 7826601 10435468 11108724 14972628 15653202 28697537 31306404 57395074 86092611 114790148 172185222 344370444