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3505838130 = 2325291343233
BaseRepresentation
bin1101000011110110…
…1101100000110010
3100001022212000210200
43100331231200302
524134443310010
61335514140030
7152610063264
oct32075554062
910038760720
103505838130
111539a55093
1281a121616
1343b431a42
1425387bb34
15157bb1cc0
hexd0f6d832

3505838130 has 48 divisors (see below), whose sum is σ = 9429502680. Its totient is φ = 902651904.

The previous prime is 3505838111. The next prime is 3505838179. The reversal of 3505838130 is 318385053.

3505838130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3407173641 + 98664489 = 58371^2 + 9933^2 .

It is a Curzon 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, 669007 + ... + 674226.

Almost surely, 23505838130 is an apocalyptic number.

3505838130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3505838130 is an abundant number, since it is smaller than the sum of its proper divisors (5923664550).

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

3505838130 is a wasteful number, since it uses less digits than its factorization.

3505838130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1343275 (or 1343272 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 3505838130 is about 59210.1184764901. The cubic root of 3505838130 is about 1519.1382075240.

The spelling of 3505838130 in words is "three billion, five hundred five million, eight hundred thirty-eight thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1305 2610 1343233 2686466 4029699 6716165 8059398 12089097 13432330 20148495 24178194 38953757 40296990 60445485 77907514 116861271 120890970 194768785 233722542 350583813 389537570 584306355 701167626 1168612710 1752919065 3505838130