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3435512070 = 2352331612633
BaseRepresentation
bin1100110011000101…
…1100000100000110
322212102112002120210
43030301130010012
524013442341240
61324522540250
7151064241114
oct31461340406
98772462523
103435512070
111503291081
127ba667686
134299aa9a3
142483b2ab4
1515191e780
hexccc5c106

3435512070 has 128 divisors (see below), whose sum is σ = 9030279168. Its totient is φ = 833817600.

The previous prime is 3435512063. The next prime is 3435512081. The reversal of 3435512070 is 702155343.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1303474 + ... + 1306106.

It is an arithmetic number, because the mean of its divisors is an integer number (70549056).

Almost surely, 23435512070 is an apocalyptic number.

3435512070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3435512070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4515139584).

3435512070 is an abundant number, since it is smaller than the sum of its proper divisors (5594767098).

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

3435512070 is a wasteful number, since it uses less digits than its factorization.

3435512070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2758.

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 3435512070 is about 58613.2414220541. The cubic root of 3435512070 is about 1508.9117006531.

The spelling of 3435512070 in words is "three billion, four hundred thirty-five million, five hundred twelve thousand, seventy".

Divisors: 1 2 3 5 6 10 15 23 30 31 46 61 62 69 93 115 122 138 155 183 186 230 305 310 345 366 465 610 690 713 915 930 1403 1426 1830 1891 2139 2633 2806 3565 3782 4209 4278 5266 5673 7015 7130 7899 8418 9455 10695 11346 13165 14030 15798 18910 21045 21390 26330 28365 39495 42090 43493 56730 60559 78990 81623 86986 121118 130479 160613 163246 181677 217465 244869 260958 302795 321226 363354 408115 434930 481839 489738 605590 652395 803065 816230 908385 963678 1224345 1304790 1606130 1816770 1877329 2409195 2448690 3694099 3754658 4818390 4979003 5631987 7388198 9386645 9958006 11082297 11263974 14937009 18470495 18773290 22164594 24895015 28159935 29874018 36940990 49790030 55411485 56319870 74685045 110822970 114517069 149370090 229034138 343551207 572585345 687102414 1145170690 1717756035 3435512070