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3400566040 = 2351910194391
BaseRepresentation
bin1100101010110000…
…1000010100011000
322202222202122122101
43022230020110120
523431021103130
61321233533144
7150161222464
oct31254102430
98688678571
103400566040
111495592663
127aaa141b4
13422693671
142438b74a4
1514d81a1ca
hexcab08518

3400566040 has 64 divisors (see below), whose sum is σ = 8063712000. Its totient is φ = 1287077760.

The previous prime is 3400566007. The next prime is 3400566041. The reversal of 3400566040 is 406650043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400566041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 772245 + ... + 776635.

It is an arithmetic number, because the mean of its divisors is an integer number (125995500).

Almost surely, 23400566040 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 3400566040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4031856000).

3400566040 is an abundant number, since it is smaller than the sum of its proper divisors (4663145960).

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

3400566040 is a wasteful number, since it uses less digits than its factorization.

3400566040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5440 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 3400566040 is about 58314.3724994105. The cubic root of 3400566040 is about 1503.7780377795.

The spelling of 3400566040 in words is "three billion, four hundred million, five hundred sixty-six thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 1019 2038 4076 4391 5095 8152 8782 10190 17564 19361 20380 21955 35128 38722 40760 43910 77444 83429 87820 96805 154888 166858 175640 193610 333716 387220 417145 667432 774440 834290 1668580 3337160 4474429 8948858 17897716 22372145 35795432 44744290 85014151 89488580 170028302 178977160 340056604 425070755 680113208 850141510 1700283020 3400566040