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328074208 = 25721123827
BaseRepresentation
bin10011100011100…
…000001111100000
3211212022220012121
4103203200033200
51132441333313
652315434024
711062404400
oct2343401740
9755286177
10328074208
1115920a010
1291a55914
1352c7a367
1431800800
151dc0728d
hex138e03e0

328074208 has 144 divisors (see below), whose sum is σ = 856324224. Its totient is φ = 122115840.

The previous prime is 328074199. The next prime is 328074217. The reversal of 328074208 is 802470823.

It is an interprime number because it is at equal distance from previous prime (328074199) and next prime (328074217).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396291 + ... + 397117.

It is an arithmetic number, because the mean of its divisors is an integer number (5946696).

Almost surely, 2328074208 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 328074208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428162112).

328074208 is an abundant number, since it is smaller than the sum of its proper divisors (528250016).

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

328074208 is a wasteful number, since it uses less digits than its factorization.

328074208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 328074208 is about 18112.8188860818. The cubic root of 328074208 is about 689.6954533631.

The spelling of 328074208 in words is "three hundred twenty-eight million, seventy-four thousand, two hundred eight".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 44 46 49 56 77 88 92 98 112 154 161 176 184 196 224 253 308 322 352 368 392 506 539 616 644 736 784 827 1012 1078 1127 1232 1288 1568 1654 1771 2024 2156 2254 2464 2576 3308 3542 4048 4312 4508 5152 5789 6616 7084 8096 8624 9016 9097 11578 12397 13232 14168 17248 18032 18194 19021 23156 24794 26464 28336 36064 36388 38042 40523 46312 49588 56672 63679 72776 76084 81046 92624 99176 127358 133147 145552 152168 162092 185248 198352 209231 254716 266294 291104 304336 324184 396704 418462 445753 509432 532588 608672 648368 836924 891506 932029 1018864 1065176 1296736 1464617 1673848 1783012 1864058 2037728 2130352 2929234 3347696 3566024 3728116 4260704 5858468 6695392 7132048 7456232 10252319 11716936 14264096 14912464 20504638 23433872 29824928 41009276 46867744 82018552 164037104 328074208