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3400552100 = 2252117143541
BaseRepresentation
bin1100101010110000…
…0100111010100100
322202222201221112002
43022230010322210
523431020131400
61321233344432
7150161134031
oct31254047244
98688657462
103400552100
111495583140
127aaa08118
1342268a20a
142438b2388
1514d815ed5
hexcab04ea4

3400552100 has 72 divisors (see below), whose sum is σ = 8163602496. Its totient is φ = 1219120000.

The previous prime is 3400552097. The next prime is 3400552121. The reversal of 3400552100 is 12550043.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 56330 + ... + 99870.

It is an arithmetic number, because the mean of its divisors is an integer number (113383368).

Almost surely, 23400552100 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 3400552100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4081801248).

3400552100 is an abundant number, since it is smaller than the sum of its proper divisors (4763050396).

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

3400552100 is a wasteful number, since it uses less digits than its factorization.

3400552100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43637 (or 43630 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 3400552100 is about 58314.2529747231. The cubic root of 3400552100 is about 1503.7759829554.

The spelling of 3400552100 in words is "three billion, four hundred million, five hundred fifty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 71 100 110 142 220 275 284 355 550 710 781 1100 1420 1562 1775 3124 3550 3905 7100 7810 15620 19525 39050 43541 78100 87082 174164 217705 435410 478951 870820 957902 1088525 1915804 2177050 2394755 3091411 4354100 4789510 6182822 9579020 11973775 12365644 15457055 23947550 30914110 34005521 47895100 61828220 68011042 77285275 136022084 154570550 170027605 309141100 340055210 680110420 850138025 1700276050 3400552100