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309474048 = 28313139223
BaseRepresentation
bin10010011100100…
…011001100000000
3210120022220120210
4102130203030000
51113211132143
650413034120
710445325462
oct2234431400
9716286523
10309474048
11149765484
1287785940
134c167150
142d15c132
151c281033
hex12723300

309474048 has 144 divisors (see below), whose sum is σ = 897397760. Its totient is φ = 94113792.

The previous prime is 309474037. The next prime is 309474059. The reversal of 309474048 is 840474903.

It is an interprime number because it is at equal distance from previous prime (309474037) and next prime (309474059).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 309473997 and 309474015.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1387665 + ... + 1387887.

Almost surely, 2309474048 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 309474048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448698880).

309474048 is an abundant number, since it is smaller than the sum of its proper divisors (587923712).

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

309474048 is a wasteful number, since it uses less digits than its factorization.

309474048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 309474048 is about 17591.8744879561. The cubic root of 309474048 is about 676.4069769051.

The spelling of 309474048 in words is "three hundred nine million, four hundred seventy-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 139 156 192 208 223 256 278 312 384 416 417 446 556 624 669 768 832 834 892 1112 1248 1338 1664 1668 1784 1807 2224 2496 2676 2899 3328 3336 3568 3614 4448 4992 5352 5421 5798 6672 7136 7228 8697 8896 9984 10704 10842 11596 13344 14272 14456 17394 17792 21408 21684 23192 26688 28544 28912 30997 34788 35584 42816 43368 46384 53376 57088 57824 61994 69576 85632 86736 92768 92991 106752 115648 123988 139152 171264 173472 185536 185982 231296 247976 278304 346944 371072 371964 402961 462592 495952 556608 693888 742144 743928 805922 991904 1113216 1208883 1387776 1487856 1611844 1983808 2226432 2417766 2975712 3223688 3967616 4835532 5951424 6447376 7935232 9671064 11902848 12894752 19342128 23805696 25789504 38684256 51579008 77368512 103158016 154737024 309474048